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Assouad's theorem with dimension independent of the snowflaking
Assouad's theorem dimension independent snowflaking
2011/1/20
It is shown that for every K > 0 and " ∈ (0, 1/2) there exist N = N(K) ∈ N and D = D(K, ") ∈ (1,∞) with the following properties. For every separable metric space (X, d) with doubling constant at most...
The Cleavage Operad and String Topology of Higher Dimension
Cleavage Operad String Topology of Higher Dimension
2011/2/24
In [Vor05], Voronov gave life to the Cacti operad: An operad whose homology acts on the shifted homology of the free loop space over a compact, smooth orientable manifold M – HpMS1q– giving it the st...
A Renewal Theorem for Strongly Ergodic Markov Chains in Dimension $d\geq3$ and Centered Case
Markov chains renewal theorem spectral method
2010/12/14
In dimension d ≥ 3, we present a general assumption under which the renewal theorem established by Spitzer [23] for i.i.d. sequences of centered nonlattice r.v. holds true. Next we appeal to an operat...
Structure of semisimple Hopf algebras of dimension $p^2q^2$
semisimple Hopf algebra semisolvability character biproduct
2010/12/8
Let p, q be prime numbers with p4 < q, and k an algebraically closed field of characteristic 0. We show that semisimple Hopf algebras of dimension p2q2 can be constructed either from group algebras an...
Primitive ideals in quantum Schubert cells: dimension of the strata
quantum Schubert cells: dimension strata s
2010/12/1
The aim of this paper is to study the representation theory of quantum Schu-bert cells. Let g be a simple complex Lie algebra. To each element w of the Weyl group W of g, De Concini, Kac and Procesi h...
Higher topological complexity and homotopy dimension of configuration spaces on spheres
Lusternik-Schnirelmann category Schwarz genus topological complexity configuration spaces hyperplane arrangements
2010/12/3
In the paper “On Higher Analogs of Topological Complexity”Yu. Rudyak introduced the concept of TCn(X), the nth topological complexity of a path-connected space X. This concept was developed as a gener...